A rose by any other name

Calculus Level 4

The collection of polar graphs, \(r(t) = \cos(nt)\), is a family of images of flowers (roses) of \(n\) or \(2n\) petals depending on \(n\) being even or odd.

Out of the options given, which rose with that number of non-overlapping petals would have the greatest total area?

Image Credit: Flickr David Gilson.
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